873864 has 48 divisors (see below), whose sum is σ = 2421900. Its totient is φ = 284544.

The previous prime is 873863. The next prime is 873877. The reversal of 873864 is 468378.

It can be written as a sum of positive squares in 2 ways, for example, as 756900 + 116964 = 870^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8³ + 7³ + 8⁵ + 3¹² + 6⁶ + 4⁹ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873864.

It is not an unprimeable number, because it can be changed into a prime (873863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3702 + ... + 3930.

2⁸⁷³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210950).

873864 is an abundant number, since it is smaller than the sum of its proper divisors (1548036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

873864 is a wasteful number, since it uses less digits than its factorization.

873864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 873864 is about 934.8069319384. The cubic root of 873864 is about 95.6051490256.

The spelling of 873864 in words is "eight hundred seventy-three thousand, eight hundred sixty-four".